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4842634752 = 29321995281
BaseRepresentation
bin1001000001010010…
…01011111000000000
3110111111021100000200
410200221023320000
534404203303002
62120310245200
7231001500444
oct44051137000
913444240020
104842634752
1120655a518a
12b31956800
135c2381467
1433d21a824
151d521eb1c
hex120a4be00

4842634752 has 120 divisors (see below), whose sum is σ = 14049063600. Its totient is φ = 1605795840.

The previous prime is 4842634717. The next prime is 4842634787. The reversal of 4842634752 is 2574362484.

It is a happy number.

4842634752 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 634 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4842634717) and next prime (4842634787).

It is a super-2 number, since 2×48426347522 = 46902222682556203008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4842634698 and 4842634707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914352 + ... + 919632.

It is an arithmetic number, because the mean of its divisors is an integer number (117075530).

Almost surely, 24842634752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024531800).

4842634752 is an abundant number, since it is smaller than the sum of its proper divisors (9206428848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4842634752 is a wasteful number, since it uses less digits than its factorization.

4842634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5485 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 4842634752 is about 69589.0418959767. The cubic root of 4842634752 is about 1691.8449969504.

The spelling of 4842634752 in words is "four billion, eight hundred forty-two million, six hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 512 576 597 768 796 1152 1194 1536 1592 1791 2304 2388 3184 3582 4608 4776 5281 6368 7164 9552 10562 12736 14328 15843 19104 21124 25472 28656 31686 38208 42248 47529 50944 57312 63372 76416 84496 95058 101888 114624 126744 152832 168992 190116 229248 253488 305664 337984 380232 458496 506976 675968 760464 916992 1013952 1050919 1351936 1520928 2027904 2101838 2703872 3041856 3152757 4055808 4203676 6083712 6305514 8111616 8407352 9458271 12167424 12611028 16814704 18916542 24334848 25222056 33629408 37833084 50444112 67258816 75666168 100888224 134517632 151332336 201776448 269035264 302664672 403552896 538070528 605329344 807105792 1210658688 1614211584 2421317376 4842634752